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Finding the Fourth Proportional to 6,966.20, 9,613.38 and 3,822.44

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Solution

The fourth proportional to 6,966.20, 9,613.38 and 3,822.44 is: 5,274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.20 : 9,613.38 = 3,822.44 : x
  2. Step 2: Convert to fraction form
    6,966.20/9,613.38 = 3,822.44/x
  3. Step 3: Cross multiply
    6,966.20x = 9,613.38 × 3,822.44
  4. Step 4: Simplify right side
    6,966.20x = 36,746,568.25
  5. Step 5: Solve for x
    x = 36,746,568.25/6,966.20
  6. Step 6: Final answer
    x = 5,274.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.